The mean number of hours of study time per week for a sample of 524 high-school students is 27. If the margin of error for the population mean with a 98% confidence interval is 1.7, construct a 98% confidence interval for the mean number of hours of study time per week for all high-school students.
Lower endpoint?
upper endpoint?
Solution :
Given that,
Point estimate = sample mean =
= 27
Margin of error = E = 1.7
At 98% confidence interval estimate of the population mean is,
- E <
<
+ E
27 - 1.7 <
< 27 + 1.7
25.3 <
< 28.7
Lower endpoint = 25.3
Upper endpoint = 28.7
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